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Finding the Fourth Proportional to 870.03, 1,298.13 and 817.50

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Solution

The fourth proportional to 870.03, 1,298.13 and 817.50 is: 1,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.03 : 1,298.13 = 817.50 : x
  2. Step 2: Convert to fraction form
    870.03/1,298.13 = 817.50/x
  3. Step 3: Cross multiply
    870.03x = 1,298.13 × 817.50
  4. Step 4: Simplify right side
    870.03x = 1,061,221.28
  5. Step 5: Solve for x
    x = 1,061,221.28/870.03
  6. Step 6: Final answer
    x = 1,219.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.